Sobolev inequality

theorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)

Wikidata entity: Q3711848





P2534 defining formula Math (1pp*<1p*k*n=1pkn)Wk,p(n)Wk*,p*(n) ???
P31 instance of ... Q65943 (theorem) theorem
P6104 maintained by WikiProject ... Q8487137 (WikiProject Mathematics) WikiProject Mathematics
P138 named after ... Q323337 (Sergei Sobolev) Sergei Sobolev
P361 part of ... Q944443 (list of theorems) list of theorems

External Ids
P7554Encyclopedia of Mathematics article IDImbedding_theorems
P646Freebase ID/m/0cg4_z
P6366Microsoft Academic ID (discontinued)185644265
P10283OpenAlex IDC185644265
P10376ScienceDirect topic IDmathematics/sobolev-embedding-theorem

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